TSTP Solution File: COM023+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:38:10 EDT 2023
% Result : Theorem 139.68s 139.83s
% Output : Proof 139.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 13:31:20 EDT 2023
% 0.15/0.35 % CPUTime :
% 139.68/139.83 SZS status Theorem for theBenchmark.p
% 139.68/139.83 SZS output start Proof for theBenchmark.p
% 139.68/139.83 Clause #9 (by assumption #[]): Eq
% 139.68/139.83 (∀ (W0 : Iota),
% 139.68/139.83 aRewritingSystem0 W0 →
% 139.68/139.83 Iff (isConfluent0 W0)
% 139.68/139.83 (∀ (W1 W2 W3 : Iota),
% 139.68/139.83 And (And (And (And (aElement0 W1) (aElement0 W2)) (aElement0 W3)) (sdtmndtasgtdt0 W1 W0 W2))
% 139.68/139.83 (sdtmndtasgtdt0 W1 W0 W3) →
% 139.68/139.83 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 W0 W4)) (sdtmndtasgtdt0 W3 W0 W4)))
% 139.68/139.83 True
% 139.68/139.83 Clause #14 (by assumption #[]): Eq (aRewritingSystem0 xR) True
% 139.68/139.83 Clause #16 (by assumption #[]): Eq
% 139.68/139.83 (∀ (W0 W1 W2 : Iota),
% 139.68/139.83 And (And (And (And (aElement0 W0) (aElement0 W1)) (aElement0 W2)) (sdtmndtasgtdt0 W0 xR W1))
% 139.68/139.83 (sdtmndtasgtdt0 W0 xR W2) →
% 139.68/139.83 Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 W1 xR W3)) (sdtmndtasgtdt0 W2 xR W3))
% 139.68/139.83 True
% 139.68/139.83 Clause #17 (by assumption #[]): Eq (Not (isConfluent0 xR)) True
% 139.68/139.83 Clause #20 (by clausification #[17]): Eq (isConfluent0 xR) False
% 139.68/139.83 Clause #123 (by clausification #[16]): ∀ (a : Iota),
% 139.68/139.83 Eq
% 139.68/139.83 (∀ (W1 W2 : Iota),
% 139.68/139.83 And (And (And (And (aElement0 a) (aElement0 W1)) (aElement0 W2)) (sdtmndtasgtdt0 a xR W1))
% 139.68/139.83 (sdtmndtasgtdt0 a xR W2) →
% 139.68/139.83 Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 W1 xR W3)) (sdtmndtasgtdt0 W2 xR W3))
% 139.68/139.83 True
% 139.68/139.83 Clause #124 (by clausification #[123]): ∀ (a a_1 : Iota),
% 139.68/139.83 Eq
% 139.68/139.83 (∀ (W2 : Iota),
% 139.68/139.83 And (And (And (And (aElement0 a) (aElement0 a_1)) (aElement0 W2)) (sdtmndtasgtdt0 a xR a_1))
% 139.68/139.83 (sdtmndtasgtdt0 a xR W2) →
% 139.68/139.83 Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 a_1 xR W3)) (sdtmndtasgtdt0 W2 xR W3))
% 139.68/139.83 True
% 139.68/139.83 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota),
% 139.68/139.83 Eq
% 139.68/139.83 (And (And (And (And (aElement0 a) (aElement0 a_1)) (aElement0 a_2)) (sdtmndtasgtdt0 a xR a_1))
% 139.68/139.83 (sdtmndtasgtdt0 a xR a_2) →
% 139.68/139.83 Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 a_1 xR W3)) (sdtmndtasgtdt0 a_2 xR W3))
% 139.68/139.83 True
% 139.68/139.83 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota),
% 139.68/139.83 Or
% 139.68/139.83 (Eq
% 139.68/139.83 (And (And (And (And (aElement0 a) (aElement0 a_1)) (aElement0 a_2)) (sdtmndtasgtdt0 a xR a_1))
% 139.68/139.83 (sdtmndtasgtdt0 a xR a_2))
% 139.68/139.83 False)
% 139.68/139.83 (Eq (Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 a_1 xR W3)) (sdtmndtasgtdt0 a_2 xR W3)) True)
% 139.68/139.83 Clause #127 (by clausification #[126]): ∀ (a a_1 a_2 : Iota),
% 139.68/139.83 Or (Eq (Exists fun W3 => And (And (aElement0 W3) (sdtmndtasgtdt0 a xR W3)) (sdtmndtasgtdt0 a_1 xR W3)) True)
% 139.68/139.83 (Or (Eq (And (And (And (aElement0 a_2) (aElement0 a)) (aElement0 a_1)) (sdtmndtasgtdt0 a_2 xR a)) False)
% 139.68/139.83 (Eq (sdtmndtasgtdt0 a_2 xR a_1) False))
% 139.68/139.83 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.83 Or (Eq (And (And (And (aElement0 a) (aElement0 a_1)) (aElement0 a_2)) (sdtmndtasgtdt0 a xR a_1)) False)
% 139.68/139.83 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.68/139.83 (Eq
% 139.68/139.83 (And (And (aElement0 (skS.0 3 a_1 a_2 a_3)) (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 a_2 a_3)))
% 139.68/139.83 (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_1 a_2 a_3)))
% 139.68/139.83 True))
% 139.68/139.83 Clause #129 (by clausification #[128]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.83 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.68/139.83 (Or
% 139.68/139.83 (Eq
% 139.68/139.83 (And (And (aElement0 (skS.0 3 a_2 a_1 a_3)) (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_2 a_1 a_3)))
% 139.68/139.83 (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_2 a_1 a_3)))
% 139.68/139.83 True)
% 139.68/139.83 (Or (Eq (And (And (aElement0 a) (aElement0 a_2)) (aElement0 a_1)) False) (Eq (sdtmndtasgtdt0 a xR a_2) False)))
% 139.68/139.83 Clause #130 (by clausification #[129]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.83 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.68/139.83 (Or (Eq (And (And (aElement0 a) (aElement0 a_2)) (aElement0 a_1)) False)
% 139.68/139.83 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False) (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_2 a_1 a_3)) True)))
% 139.68/139.83 Clause #131 (by clausification #[129]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.83 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.68/139.83 (Or (Eq (And (And (aElement0 a) (aElement0 a_2)) (aElement0 a_1)) False)
% 139.68/139.83 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.68/139.83 (Eq (And (aElement0 (skS.0 3 a_2 a_1 a_3)) (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_2 a_1 a_3))) True)))
% 139.68/139.83 Clause #132 (by clausification #[130]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.85 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.68/139.85 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.68/139.85 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_2 a_1 a_3)) True)
% 139.68/139.85 (Or (Eq (And (aElement0 a) (aElement0 a_2)) False) (Eq (aElement0 a_1) False))))
% 139.68/139.85 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.68/139.85 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.68/139.85 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.68/139.85 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_2 a_1 a_3)) True)
% 139.68/139.85 (Or (Eq (aElement0 a_1) False) (Or (Eq (aElement0 a) False) (Eq (aElement0 a_2) False)))))
% 139.68/139.85 Clause #134 (by clausification #[9]): ∀ (a : Iota),
% 139.68/139.85 Eq
% 139.68/139.85 (aRewritingSystem0 a →
% 139.68/139.85 Iff (isConfluent0 a)
% 139.68/139.85 (∀ (W1 W2 W3 : Iota),
% 139.68/139.85 And (And (And (And (aElement0 W1) (aElement0 W2)) (aElement0 W3)) (sdtmndtasgtdt0 W1 a W2))
% 139.68/139.85 (sdtmndtasgtdt0 W1 a W3) →
% 139.68/139.85 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 a W4)) (sdtmndtasgtdt0 W3 a W4)))
% 139.68/139.85 True
% 139.68/139.85 Clause #135 (by clausification #[134]): ∀ (a : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Eq
% 139.68/139.85 (Iff (isConfluent0 a)
% 139.68/139.85 (∀ (W1 W2 W3 : Iota),
% 139.68/139.85 And (And (And (And (aElement0 W1) (aElement0 W2)) (aElement0 W3)) (sdtmndtasgtdt0 W1 a W2))
% 139.68/139.85 (sdtmndtasgtdt0 W1 a W3) →
% 139.68/139.85 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 a W4)) (sdtmndtasgtdt0 W3 a W4)))
% 139.68/139.85 True)
% 139.68/139.85 Clause #136 (by clausification #[135]): ∀ (a : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Or (Eq (isConfluent0 a) True)
% 139.68/139.85 (Eq
% 139.68/139.85 (∀ (W1 W2 W3 : Iota),
% 139.68/139.85 And (And (And (And (aElement0 W1) (aElement0 W2)) (aElement0 W3)) (sdtmndtasgtdt0 W1 a W2))
% 139.68/139.85 (sdtmndtasgtdt0 W1 a W3) →
% 139.68/139.85 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 a W4)) (sdtmndtasgtdt0 W3 a W4))
% 139.68/139.85 False))
% 139.68/139.85 Clause #138 (by clausification #[136]): ∀ (a a_1 : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Or (Eq (isConfluent0 a) True)
% 139.68/139.85 (Eq
% 139.68/139.85 (Not
% 139.68/139.85 (∀ (W2 W3 : Iota),
% 139.68/139.85 And
% 139.68/139.85 (And (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 W2)) (aElement0 W3))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W2))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W3) →
% 139.68/139.85 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 a W4)) (sdtmndtasgtdt0 W3 a W4)))
% 139.68/139.85 True))
% 139.68/139.85 Clause #139 (by clausification #[138]): ∀ (a a_1 : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Or (Eq (isConfluent0 a) True)
% 139.68/139.85 (Eq
% 139.68/139.85 (∀ (W2 W3 : Iota),
% 139.68/139.85 And
% 139.68/139.85 (And (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 W2)) (aElement0 W3))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W2))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W3) →
% 139.68/139.85 Exists fun W4 => And (And (aElement0 W4) (sdtmndtasgtdt0 W2 a W4)) (sdtmndtasgtdt0 W3 a W4))
% 139.68/139.85 False))
% 139.68/139.85 Clause #140 (by clausification #[139]): ∀ (a a_1 a_2 : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Or (Eq (isConfluent0 a) True)
% 139.68/139.85 (Eq
% 139.68/139.85 (Not
% 139.68/139.85 (∀ (W3 : Iota),
% 139.68/139.85 And
% 139.68/139.85 (And (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) (aElement0 W3))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W3) →
% 139.68/139.85 Exists fun W4 =>
% 139.68/139.85 And (And (aElement0 W4) (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a W4)) (sdtmndtasgtdt0 W3 a W4)))
% 139.68/139.85 True))
% 139.68/139.85 Clause #141 (by clausification #[140]): ∀ (a a_1 a_2 : Iota),
% 139.68/139.85 Or (Eq (aRewritingSystem0 a) False)
% 139.68/139.85 (Or (Eq (isConfluent0 a) True)
% 139.68/139.85 (Eq
% 139.68/139.85 (∀ (W3 : Iota),
% 139.68/139.85 And
% 139.68/139.85 (And (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) (aElement0 W3))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.68/139.85 (sdtmndtasgtdt0 (skS.0 4 a a_1) a W3) →
% 139.68/139.85 Exists fun W4 =>
% 139.68/139.85 And (And (aElement0 W4) (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a W4)) (sdtmndtasgtdt0 W3 a W4))
% 139.68/139.85 False))
% 139.74/139.88 Clause #142 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True)
% 139.74/139.88 (Eq
% 139.74/139.88 (Not
% 139.74/139.88 (And
% 139.74/139.88 (And
% 139.74/139.88 (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2)))
% 139.74/139.88 (aElement0 (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 6 a a_1 a_2 a_3)) →
% 139.74/139.88 Exists fun W4 =>
% 139.74/139.88 And (And (aElement0 W4) (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a W4))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 6 a a_1 a_2 a_3) a W4)))
% 139.74/139.88 True))
% 139.74/139.88 Clause #143 (by clausification #[142]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True)
% 139.74/139.88 (Eq
% 139.74/139.88 (And
% 139.74/139.88 (And
% 139.74/139.88 (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2)))
% 139.74/139.88 (aElement0 (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 6 a a_1 a_2 a_3)) →
% 139.74/139.88 Exists fun W4 =>
% 139.74/139.88 And (And (aElement0 W4) (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a W4))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 6 a a_1 a_2 a_3) a W4))
% 139.74/139.88 False))
% 139.74/139.88 Clause #144 (by clausification #[143]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True)
% 139.74/139.88 (Eq
% 139.74/139.88 (And
% 139.74/139.88 (And
% 139.74/139.88 (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) (aElement0 (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.88 True))
% 139.74/139.88 Clause #145 (by clausification #[143]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True)
% 139.74/139.88 (Eq
% 139.74/139.88 (Exists fun W4 =>
% 139.74/139.88 And (And (aElement0 W4) (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a W4))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 6 a a_1 a_2 a_3) a W4))
% 139.74/139.88 False))
% 139.74/139.88 Clause #146 (by clausification #[144]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True) (Eq (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 6 a a_1 a_2 a_3)) True))
% 139.74/139.88 Clause #147 (by clausification #[144]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.88 (Or (Eq (isConfluent0 a) True)
% 139.74/139.88 (Eq
% 139.74/139.88 (And (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) (aElement0 (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.88 (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)))
% 139.74/139.88 True))
% 139.74/139.88 Clause #148 (by superposition #[146, 14]): ∀ (a a_1 a_2 : Iota),
% 139.74/139.88 Or (Eq (isConfluent0 xR) True)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 6 xR a a_1 a_2)) True) (Eq False True))
% 139.74/139.88 Clause #218 (by clausification #[131]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.74/139.88 (Or (Eq (And (aElement0 (skS.0 3 a_2 a_1 a_3)) (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_2 a_1 a_3))) True)
% 139.74/139.88 (Or (Eq (And (aElement0 a) (aElement0 a_2)) False) (Eq (aElement0 a_1) False))))
% 139.74/139.88 Clause #219 (by clausification #[218]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.74/139.88 (Or (Eq (And (aElement0 a) (aElement0 a_2)) False)
% 139.74/139.88 (Or (Eq (aElement0 a_1) False) (Eq (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_2 a_1 a_3)) True))))
% 139.74/139.88 Clause #220 (by clausification #[218]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.74/139.88 (Or (Eq (And (aElement0 a) (aElement0 a_2)) False)
% 139.74/139.88 (Or (Eq (aElement0 a_1) False) (Eq (aElement0 (skS.0 3 a_2 a_1 a_3)) True))))
% 139.74/139.88 Clause #221 (by clausification #[219]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.88 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.74/139.88 (Or (Eq (aElement0 a_1) False)
% 139.74/139.88 (Or (Eq (sdtmndtasgtdt0 a_2 xR (skS.0 3 a_2 a_1 a_3)) True)
% 139.74/139.88 (Or (Eq (aElement0 a) False) (Eq (aElement0 a_2) False)))))
% 139.74/139.90 Clause #230 (by clausification #[148]): ∀ (a a_1 a_2 : Iota), Or (Eq (isConfluent0 xR) True) (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 6 xR a a_1 a_2)) True)
% 139.74/139.90 Clause #231 (by forward demodulation #[230, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq False True) (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 6 xR a a_1 a_2)) True)
% 139.74/139.90 Clause #232 (by clausification #[231]): ∀ (a a_1 a_2 : Iota), Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 6 xR a a_1 a_2)) True
% 139.74/139.90 Clause #233 (by superposition #[232, 133]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq True False)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False)))))
% 139.74/139.90 Clause #234 (by superposition #[232, 221]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq True False)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False)))))
% 139.74/139.90 Clause #235 (by clausification #[145]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.90 (Or (Eq (isConfluent0 a) True)
% 139.74/139.90 (Eq
% 139.74/139.90 (And (And (aElement0 a_1) (sdtmndtasgtdt0 (skS.0 5 a a_2 a_3) a a_1))
% 139.74/139.90 (sdtmndtasgtdt0 (skS.0 6 a a_2 a_3 a_4) a a_1))
% 139.74/139.90 False))
% 139.74/139.90 Clause #236 (by clausification #[235]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.90 (Or (Eq (isConfluent0 a) True)
% 139.74/139.90 (Or (Eq (And (aElement0 a_1) (sdtmndtasgtdt0 (skS.0 5 a a_2 a_3) a a_1)) False)
% 139.74/139.90 (Eq (sdtmndtasgtdt0 (skS.0 6 a a_2 a_3 a_4) a a_1) False)))
% 139.74/139.90 Clause #237 (by clausification #[236]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.90 (Or (Eq (isConfluent0 a) True)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 a a_1 a_2 a_3) a a_4) False)
% 139.74/139.90 (Or (Eq (aElement0 a_4) False) (Eq (sdtmndtasgtdt0 (skS.0 5 a a_1 a_2) a a_4) False))))
% 139.74/139.90 Clause #238 (by superposition #[237, 14]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.90 Or (Eq (isConfluent0 xR) True)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR a_3) False)
% 139.74/139.90 (Or (Eq (aElement0 a_3) False) (Or (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR a_3) False) (Eq False True))))
% 139.74/139.90 Clause #239 (by clausification #[220]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.90 Or (Eq (sdtmndtasgtdt0 a xR a_1) False)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 a xR a_2) False)
% 139.74/139.90 (Or (Eq (aElement0 a_1) False)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 3 a_2 a_1 a_3)) True) (Or (Eq (aElement0 a) False) (Eq (aElement0 a_2) False)))))
% 139.74/139.90 Clause #240 (by superposition #[239, 232]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.90 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.74/139.90 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Or (Eq (aElement0 a_1) False) (Eq False True)))))
% 139.74/139.90 Clause #241 (by clausification #[238]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.90 Or (Eq (isConfluent0 xR) True)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR a_3) False)
% 139.74/139.90 (Or (Eq (aElement0 a_3) False) (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR a_3) False)))
% 139.74/139.90 Clause #242 (by forward demodulation #[241, 20]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.90 Or (Eq False True)
% 139.74/139.90 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR a_3) False)
% 139.74/139.90 (Or (Eq (aElement0 a_3) False) (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR a_3) False)))
% 139.74/139.90 Clause #243 (by clausification #[242]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.90 Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR a_3) False)
% 139.74/139.90 (Or (Eq (aElement0 a_3) False) (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR a_3) False))
% 139.74/139.90 Clause #253 (by clausification #[147]): ∀ (a a_1 a_2 : Iota),
% 139.74/139.90 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.90 (Or (Eq (isConfluent0 a) True) (Eq (sdtmndtasgtdt0 (skS.0 4 a a_1) a (skS.0 5 a a_1 a_2)) True))
% 139.74/139.93 Clause #254 (by clausification #[147]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.93 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.93 (Or (Eq (isConfluent0 a) True)
% 139.74/139.93 (Eq (And (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) (aElement0 (skS.0 6 a a_1 a_2 a_3)))
% 139.74/139.93 True))
% 139.74/139.93 Clause #255 (by superposition #[253, 14]): ∀ (a a_1 : Iota),
% 139.74/139.93 Or (Eq (isConfluent0 xR) True) (Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 5 xR a a_1)) True) (Eq False True))
% 139.74/139.93 Clause #256 (by clausification #[255]): ∀ (a a_1 : Iota), Or (Eq (isConfluent0 xR) True) (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 5 xR a a_1)) True)
% 139.74/139.93 Clause #257 (by forward demodulation #[256, 20]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 5 xR a a_1)) True)
% 139.74/139.93 Clause #258 (by clausification #[257]): ∀ (a a_1 : Iota), Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR (skS.0 5 xR a a_1)) True
% 139.74/139.93 Clause #264 (by clausification #[254]): ∀ (a a_1 a_2 a_3 : Iota),
% 139.74/139.93 Or (Eq (aRewritingSystem0 a) False) (Or (Eq (isConfluent0 a) True) (Eq (aElement0 (skS.0 6 a a_1 a_2 a_3)) True))
% 139.74/139.93 Clause #265 (by clausification #[254]): ∀ (a a_1 a_2 : Iota),
% 139.74/139.93 Or (Eq (aRewritingSystem0 a) False)
% 139.74/139.93 (Or (Eq (isConfluent0 a) True) (Eq (And (aElement0 (skS.0 4 a a_1)) (aElement0 (skS.0 5 a a_1 a_2))) True))
% 139.74/139.93 Clause #266 (by superposition #[264, 14]): ∀ (a a_1 a_2 : Iota), Or (Eq (isConfluent0 xR) True) (Or (Eq (aElement0 (skS.0 6 xR a a_1 a_2)) True) (Eq False True))
% 139.74/139.93 Clause #267 (by clausification #[266]): ∀ (a a_1 a_2 : Iota), Or (Eq (isConfluent0 xR) True) (Eq (aElement0 (skS.0 6 xR a a_1 a_2)) True)
% 139.74/139.93 Clause #268 (by forward demodulation #[267, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq False True) (Eq (aElement0 (skS.0 6 xR a a_1 a_2)) True)
% 139.74/139.93 Clause #269 (by clausification #[268]): ∀ (a a_1 a_2 : Iota), Eq (aElement0 (skS.0 6 xR a a_1 a_2)) True
% 139.74/139.93 Clause #304 (by clausification #[265]): ∀ (a a_1 a_2 : Iota),
% 139.74/139.93 Or (Eq (aRewritingSystem0 a) False) (Or (Eq (isConfluent0 a) True) (Eq (aElement0 (skS.0 5 a a_1 a_2)) True))
% 139.74/139.93 Clause #305 (by clausification #[265]): ∀ (a a_1 : Iota),
% 139.74/139.93 Or (Eq (aRewritingSystem0 a) False) (Or (Eq (isConfluent0 a) True) (Eq (aElement0 (skS.0 4 a a_1)) True))
% 139.74/139.93 Clause #306 (by superposition #[304, 14]): ∀ (a a_1 : Iota), Or (Eq (isConfluent0 xR) True) (Or (Eq (aElement0 (skS.0 5 xR a a_1)) True) (Eq False True))
% 139.74/139.93 Clause #307 (by superposition #[305, 14]): ∀ (a : Iota), Or (Eq (isConfluent0 xR) True) (Or (Eq (aElement0 (skS.0 4 xR a)) True) (Eq False True))
% 139.74/139.93 Clause #308 (by clausification #[307]): ∀ (a : Iota), Or (Eq (isConfluent0 xR) True) (Eq (aElement0 (skS.0 4 xR a)) True)
% 139.74/139.93 Clause #309 (by forward demodulation #[308, 20]): ∀ (a : Iota), Or (Eq False True) (Eq (aElement0 (skS.0 4 xR a)) True)
% 139.74/139.93 Clause #310 (by clausification #[309]): ∀ (a : Iota), Eq (aElement0 (skS.0 4 xR a)) True
% 139.74/139.93 Clause #326 (by clausification #[306]): ∀ (a a_1 : Iota), Or (Eq (isConfluent0 xR) True) (Eq (aElement0 (skS.0 5 xR a a_1)) True)
% 139.74/139.93 Clause #327 (by forward demodulation #[326, 20]): ∀ (a a_1 : Iota), Or (Eq False True) (Eq (aElement0 (skS.0 5 xR a a_1)) True)
% 139.74/139.93 Clause #328 (by clausification #[327]): ∀ (a a_1 : Iota), Eq (aElement0 (skS.0 5 xR a a_1)) True
% 139.74/139.93 Clause #369 (by clausification #[233]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.93 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.93 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.74/139.93 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.74/139.93 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.74/139.93 Clause #370 (by forward demodulation #[369, 269]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.93 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.93 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.74/139.93 (Or (Eq True False) (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.74/139.93 Clause #371 (by clausification #[370]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.74/139.93 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.74/139.93 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #372 (by forward demodulation #[371, 310]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq True False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #373 (by clausification #[372]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_2 a_3) xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Eq (aElement0 a_1) False))
% 139.82/139.96 Clause #375 (by superposition #[373, 258]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR (skS.0 3 (skS.0 5 xR a a_3) (skS.0 6 xR a a_1 a_2) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 5 xR a a_3)) False) (Eq False True))
% 139.82/139.96 Clause #390 (by clausification #[234]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.82/139.96 Clause #391 (by forward demodulation #[390, 269]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq True False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.82/139.96 Clause #392 (by clausification #[391]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #393 (by forward demodulation #[392, 310]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq True False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #394 (by clausification #[393]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (sdtmndtasgtdt0 a_1 xR (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True) (Eq (aElement0 a_1) False))
% 139.82/139.96 Clause #396 (by superposition #[394, 258]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 5 xR a a_1)) False) (Eq False True))
% 139.82/139.96 Clause #411 (by clausification #[240]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 6 xR a a_2 a_3)) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.82/139.96 Clause #412 (by forward demodulation #[411, 269]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq True False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False))))
% 139.82/139.96 Clause #413 (by clausification #[412]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 4 xR a)) False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #414 (by forward demodulation #[413, 310]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True) (Or (Eq True False) (Eq (aElement0 a_1) False)))
% 139.82/139.96 Clause #415 (by clausification #[414]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.82/139.96 Or (Eq (sdtmndtasgtdt0 (skS.0 4 xR a) xR a_1) False)
% 139.82/139.96 (Or (Eq (aElement0 (skS.0 3 a_1 (skS.0 6 xR a a_2 a_3) a_4)) True) (Eq (aElement0 a_1) False))
% 139.82/139.96 Clause #417 (by superposition #[415, 258]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.86/140.16 (Or (Eq (aElement0 (skS.0 5 xR a a_1)) False) (Eq False True))
% 139.86/140.16 Clause #920 (by clausification #[417]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.86/140.16 (Eq (aElement0 (skS.0 5 xR a a_1)) False)
% 139.86/140.16 Clause #921 (by forward demodulation #[920, 328]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True) (Eq True False)
% 139.86/140.16 Clause #922 (by clausification #[921]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True
% 139.86/140.16 Clause #1058 (by clausification #[375]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR (skS.0 3 (skS.0 5 xR a a_3) (skS.0 6 xR a a_1 a_2) a_4)) True)
% 139.86/140.16 (Eq (aElement0 (skS.0 5 xR a a_3)) False)
% 139.86/140.16 Clause #1059 (by forward demodulation #[1058, 328]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR (skS.0 3 (skS.0 5 xR a a_3) (skS.0 6 xR a a_1 a_2) a_4)) True)
% 139.86/140.16 (Eq True False)
% 139.86/140.16 Clause #1060 (by clausification #[1059]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Eq (sdtmndtasgtdt0 (skS.0 6 xR a a_1 a_2) xR (skS.0 3 (skS.0 5 xR a a_3) (skS.0 6 xR a a_1 a_2) a_4)) True
% 139.86/140.16 Clause #1064 (by superposition #[1060, 243]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq True False)
% 139.86/140.16 (Or (Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) False)
% 139.86/140.16 (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_2) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) False))
% 139.86/140.16 Clause #1334 (by clausification #[396]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.86/140.16 (Eq (aElement0 (skS.0 5 xR a a_1)) False)
% 139.86/140.16 Clause #1335 (by forward demodulation #[1334, 328]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True)
% 139.86/140.16 (Eq True False)
% 139.86/140.16 Clause #1336 (by clausification #[1335]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) True
% 139.86/140.16 Clause #9123 (by clausification #[1064]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq (aElement0 (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) False)
% 139.86/140.16 (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_2) xR (skS.0 3 (skS.0 5 xR a a_1) (skS.0 6 xR a a_2 a_3) a_4)) False)
% 139.86/140.16 Clause #9124 (by forward demodulation #[9123, 922]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Or (Eq True False)
% 139.86/140.16 (Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_2) (skS.0 6 xR a a_1 a_3) a_4)) False)
% 139.86/140.16 Clause #9125 (by clausification #[9124]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 139.86/140.16 Eq (sdtmndtasgtdt0 (skS.0 5 xR a a_1) xR (skS.0 3 (skS.0 5 xR a a_2) (skS.0 6 xR a a_1 a_3) a_4)) False
% 139.86/140.16 Clause #9126 (by superposition #[9125, 1336]): Eq False True
% 139.86/140.16 Clause #9128 (by clausification #[9126]): False
% 139.86/140.16 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------